Answer:
By using completing the square method, equation (x - 12) (x + 4) = 9 can be solved as x = (4 + √ 73) or (4 - √ 73)
The average speed of the truck is calculated by dividing the total distance traveled in a span of the total time given. From the given above, the total distance traveled is
total distance = 203 mi + 243 mi = 446 mi
and the total time it took for the whole trip is
total time = 3.5 h + 4.5 h = 8 h
The average speed is therefore,
average speed = 446 mi/8 h = 55.75 mi/h
Thus, the answer is letter A.
Salutations!
Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?
So lets solve this!
Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.
Lets form this into statements ----
Percentage increase = 20%
Mark's old salary = $1800
Mark's new salary = 20 × 1800/100
Cancel out the zeros to make it more logical ----
20 × 18/1
= 360.
Now, we need to add 1800 and 360 to get Mark's new salary
1800 + 360 = $2160.
Mark's new salary is $2160.
Hope I helped :D
The equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
Given, a ratio table
Plum 14 42 __ __
Grape 7 __ 3 24
we have to find the missing values and the equivalent ratios.
in the first ratio,
Plum : Grape = 14 : 7 = 2 : 1
Now, in the second ratio,
2 : 1 = 42 : __
x = 21
Now, in the third ratio,
2 : 1 = __ : 3
x = 6
Now, in the forth ratio,
2 : 1 = __ : 24
x = 48
So, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Hence, the equivalent ratio is 8 : 4.
And the missing values are as follows 21, 6 and 48.
Complete table be,
Plum 14 42 6 48
Grape 7 21 3 24
Learn more about Ratios and Proportions here brainly.com/question/26974513
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Answer:
240 
12.5p + 65
14 
p
Step-by-step explanation:
I'll explain the equation in different parts
12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.
65 - This is a set value that remains constant
240 - Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket
As for solving the equation just use properties of equality
240 12.5p + 65
175 12.5p
14 p
